• 제목/요약/키워드: exact order

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Equivalent Image Method for the Analysis of Electrostatic Problems

  • Kim, Eui-Joong;Lee, Young-Soon;Kim, Kun-Woo;Cho, Young-Ki
    • Journal of electromagnetic engineering and science
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    • 제3권1호
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    • pp.72-76
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    • 2003
  • For the purpose of numerically efficient analysis for electrostatic problems, an improved equivalent image method, by which infinite exact image of a point charge in parallel-plate and rectangular conducting structures can be replaced by only a few equivalent images, is considered. Through this study, it is observed that the error is of the order of 0.001 % when the present method is used to evaluate electric potential for a point charge in parallel-plate and rectangular conducting planes.

SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES OF VARIATIONAL DISCRETIZATION FOR ELLIPTIC CONTROL PROBLEMS

  • Hua, Yuchun;Tang, Yuelong
    • Journal of applied mathematics & informatics
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    • 제32권5_6호
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    • pp.707-719
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    • 2014
  • In this paper, we investigate a variational discretization approximation of elliptic optimal control problems with control constraints. The state and the co-state are approximated by piecewise linear functions, while the control is not directly discretized. By using some proper intermediate variables, we derive a second-order convergence in $L^2$-norm and superconvergence between the numerical solution and elliptic projection of the exact solution in $H^1$-norm or the gradient of the exact solution and recovery gradient in $L^2$-norm. Then we construct a posteriori error estimates by using the superconvergence results and do some numerical experiments to confirm our theoretical results.

특이 유한요소의 구성과 응용 (Formulation of a Singular Finite Element and Its Application)

  • 김명식;임장근
    • 대한기계학회논문집A
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    • 제23권6호
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    • pp.1018-1025
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    • 1999
  • For the effective analysis of two dimensional plane problems with geometrical discontinuities, singular finite element has been proposed. The element matrix equation was formulated on the basis of hybrid variational principle and Trefftz function sets derived consistently from the complex theory of plane elasticity by introducing a conformal mapping function. In order to suggest the accuracy characteristics of the proposed singular finite element, typical plane problems were analyzed and these results were compared with exact solutions. The singular finite element gives the comparatively exact values of stress concentration factors or stress intensity factors and can be effectively used for the analysis of mechanical structures containing various geometrical discontinuities.

긴팔원숭이의 분포와 계통분류 (Distribution and Phylogeny of the Gibbon)

  • 허재원;김희수
    • 생명과학회지
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    • 제12권6호
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    • pp.676-681
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    • 2002
  • 긴팔원숭이는 영장목, 유인원 아목, 좁은코원숭이 상과, 사람과에 속하는 영장류로써 소형 영장류라고 불린다. 이들은 동남 아시아 일대의 열대 우림에서 종 분화에 성공한 영장류로써 현재 4속 12종이 동정 되어 있지만 이들 중 10종이 멸종 위기에 있다. 다양한 영장류 중에 가장 높은 멸종 위기에 있으면서도 아직도 정확하게 많은 종 또는 아종의 동정이 되지 않고 있는 실정이며 많은 연구가 필요한 종이다. 그러므로 정확한 지리학적 분포와 종의 동정을 통해 이들 긴팔원숭이의 계통 관계를 파악 하는 것이 긴팔원숭이의 종분화의 이해 및 보존을 위해 무엇 보다 중요하다고 사료된다.

Accurate Corner Detection using 4-directional Edge Labeling and Corner Positioning Templates

  • Park, Eun-Jin;Choi, Doo-Hyun
    • Journal of Electrical Engineering and Technology
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    • 제6권4호
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    • pp.580-584
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    • 2011
  • Corner positioning templates are proposed in order to detect the accurate positions of corners that are extracted using 4-directional edge labeling. Top-down and bottom-up directional labeling are used to label the edge segments with four kinds of labels according to their directions. The points whose labels have changed are then determined as corners. The exact positions of the missing corners due to the disconnected edges are detected through the corner positioning templates that are determined according to the labels of start-points and end-points after the two-pass edge labeling. Experiment results show that the proposed method can detect the exact positions of the real corners.

A Measuring Model of the Position of Moving Vehicle based on Integrated Vehicle Networks for Spatial Database Applications

  • Moon, Hye-Young;Kim, Jin-Deog
    • Journal of information and communication convergence engineering
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    • 제8권1호
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    • pp.83-88
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    • 2010
  • Recently car navigation systems which have been widely spread and evolved. The systems use various information and techniques such as real time traffic information and augmented reality technique. In order to provide a shortest path with good flow, real-time traffic information provided by DMB is required. Augmented reality technique is also introduced to give a reality to driver by displaying real images captured by camera during driving. However, these operate well when the system receives GPS data normally. Exact information about the positions of vehicles is a base that supports the above function with realities. This paper proposes a model for acquiring exact position of vehicles. When the GPS does not operate normally, the proposed model uses various data which are generated by integrated vehicle networks.

An efficient approach to structural static reanalysis with added support constraints

  • Liu, Haifeng;Wu, Baisheng;Li, Zhengguang
    • Structural Engineering and Mechanics
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    • 제43권3호
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    • pp.273-285
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    • 2012
  • Structural reanalysis is frequently used to reduce the computational cost during the process of design or optimization. The supports can be regarded as the design variables in various types of structural optimization problems. The location, number, and type of supports may be varied in order to yield a more effective design. The paper is focused on structural static reanalysis problem with added supports where some node displacements along axes of the global coordinate system are specified. A new approach is proposed and exact solutions can be provided by the approach. Thus, it belongs to the direct reanalysis methods. The information from the initial analysis has been fully exploited. Numerical examples show that the exact results can be achieved and the computational time can be significantly reduced by the proposed method.

배전계통의 고장계산 및 보호계전기 협조에 관한 연구 (A study on Fault Calculation and Coordination of Relays in Distribution System)

  • 김준연;남해곤;김태성
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 정기총회 및 추계학술대회 논문집 학회본부
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    • pp.16-18
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    • 1993
  • Recently, the scale of distribution system is being enlarged by increasing power demand. When system fault occurs, fault currents and damage power facilities increase, so system stability decreases. Effective prevention of system from fault extention becomes influential as a subject in distribution system operation. In this study, exact settings of relays are obtained from program for fault calculation and coordination of relays in distribution system. In order to make smooth coordination between relays even when power system conditions vary, operation time and sensitivity of relays are optimized. As a result, reliability of distribution system is increased with rapid and exact operation of relays when fault occurs.

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원통셸의 엄밀이론에 관한 고찰 (Study On the Exact Theory of Cylindrical Shells)

  • 김천욱;이영신
    • 대한기계학회논문집
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    • 제2권2호
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    • pp.31-37
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    • 1978
  • In order to specify the accuracy of the cylindrical shell theories, several cylindrical shell equations are studied. Cheng's equation is used as the exact theory for circular cylindrical shells. An error factor is defined and used for the measure of the accuracy in various cylindrical shell theories. The line load applied along generators of a thin-walled circular cylidrical shell of finite length is investigated as a numerical example. These numerical results show that Cheng's equation is used for the fundamental cylindrical shell equation and the difficulties in cumputation by a digital computer are same as the simplified equations, such as Donnell's Morley's, and Vlasov's equations.

The effect of Fe2O3 nanoparticles instead cement on the stability of fluid-conveying concrete pipes based on exact solution

  • Nouri, Alireza Zamani
    • Computers and Concrete
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    • 제21권1호
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    • pp.31-37
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    • 2018
  • This paper deals with the stability analysis of concrete pipes mixed with nanoparticles conveying fluid. Instead of cement, the $Fe_2O_3$ nanoparticles are used in construction of the concrete pipe. The Navier-Stokes equations are used for obtaining the radial force of the fluid. Mori-Tanaka model is used for calculating the effective material properties of the concrete $pipe-Fe_2O_3$ nanoparticles considering the agglomeration of the nanoparticles. The first order shear deformation theory (FSDT) is used for mathematical modeling of the structure. The motion equations are derived based on energy method and Hamilton's principal. An exact solution is used for stability analysis of the structure. The effects of fluid, volume percent and agglomeration of $Fe_2O_3$ nanoparticles, magnetic field and geometrical parameters of pipe are shown on the stability behaviour of system. Results show that considering the agglomeration of $Fe_2O_3$ nanoparticles, the critical fluid velocity of the concrete pipe is decreased.